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Finding the Third Proportional to 136,321 and 206,931

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Solution

The third proportional to 136,321 and 206,931 is: 314,114.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,321 : 206,931 = 206,931 : x
  2. Step 2: Convert to fraction form
    136,321/206,931 = 206,931/x
  3. Step 3: Cross multiply
    136,321x = 206,931 × 206,931
  4. Step 4: Simplify right side
    136,321x = 42,820,438,761
  5. Step 5: Solve for x
    x = 42,820,438,761/136,321
  6. Step 6: Final answer
    x = 314,114.76

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.